solve the following problems Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter test are   normally distributed with a mean of 50 and a standard deviation of 5. If the z-score of a student is 2,   find his raw score. The mean number of cupcakes sold at a booth in a week is 180 with a standard   deviation of 6. If the number of cupcakes sold over a week follows a normal distribution, determine   the probabilities that in a randomly selected week,    a. more than 186 cupcakes are sold.    b. Between 175 and 185 are sold

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…

A: Let "X" be the IQ score of the adults.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

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Q: and the second scoring 23 on the ACT. Which of these students scored higher among the population of…

A: Suppose that the verbal portion of the Scholastic Aptitude Test (SAT) had a mean score of u = 400…

Q: how much will the probability that the students are aged above 15 years old change?

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Q: The average cholesterol content of a certain brand of eggs is 225 milligrams, and the standard…

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Q: An exam forms a Normal Distribution with mu equal to 10 and sigma equal to 3. What is the…

A: Solution: Let X be the exam forms has  normal distribution with mean μ=10 and standard deviation σ=3…

Q: Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

A: Let p be the probability of shot that scored points. Given that p = 61.3% = 0.613 Given that X= the…

Q: health economist does a study on the average life expectancy of every country in Europe.  The…

A: Given, mean life of the country is 81.2 and standard deviation is 3.7. Z-score is 1.2. We will use…

Q: Assume that 26% of students at a university wear glasses. Suppose 300 students are randomly…

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Q: Suppose that the distribution of the scores of students in Statistics Assignment 1 is roughly…

A: GivenMean(μ)=85standard deviation(σ)=5sample size(n)=16

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a population…

A: Solution: Let X be the blood pressure reading. From the given information, X follows normal…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Given, final exam score follows normal distribution mean 73 and standard deviation 8. Grades are…

Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.

A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…

Q: Assume that the salaries of elementary school teachers are normally distributed with a mean $35,000…

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Q: Assume that blood pressure readings are normally distributed with a mean of 135 and a standard…

A: According to the given information, we have Mean = 135 Standard deviation = 4.7 Sample size = 35

Q: Assume that the readings on thermometers are normally distributed with a mean of 0 degrees Celsius…

A: We have given that Mu= 0 , sigma =1 X~ N ( 0, 1) Zscore=(x-mu)/sigma

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…

A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard…

A: It is given that the IQ score follows normal distribution with mean 104.7 and standard deviation…

Q: Suppose the distributions of arrival and service times were normal instead of exponential.  Let the…

A: The objective of this question is to estimate the long-run average number of people that would be in…

Q: A statistics instructor gives two different tests to measure students' aptitude for statistics.…

A: We have given that, Mean1 = 22 and standard deviation1 = 5. Mean2 = 71 and standard deviation2 =…

Q: n a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: The mean incubation time 69 and standard deviation 8 The lowest score for A is calculated as…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: From the given information, the standardized exam’s scores are normally distributed with mean is…

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: From the provided information, The probability that a randomly chosen student in a statistics class…

Q: A set of final examination grades in an Introductory Statistics course is normally distributed with…

A: We have given that,  X be the test score with mean (μ) = 73 and standard deviation (σ) = 8 and The…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: goods

A: Let X be the random variable such that  cholesterol content of a certain canned goods. The average…

Q: Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.1 and a standard…

A: Answer:- Given, IQ scores(X) are normally distributed with mean, μ = 98.1 and standard deviation, σ…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: The mean incubation time 69 and standard deviation 18 The cutoff for A is calculated as follows:…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

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Q: 32 individuals from a population and the mean of the population is 120 and the standard deviation of…

A: From the central limit theorem the sample mean blood glucose level will follow normal distribution…

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the…

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Q: Find the probability that a randomly selected adult has an IQ greater than 136.4

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 101.3, SD = 20.2), then  Z = (X…

Q: Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a…

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Q: A homeowner has installed a new energy-efficient furnace. It is estimated that over a year the new…

A: We know that if; X1,X2,...,Xn~Normal(μ,σ2), independently Then; Sn=X1+X2+...+Xn~Normal(nμ,nσ2)

Q: The lowest score that would qualify a student for an A is (Round up to the nearest integer as…

A: Here Given  Points of Final exam are normally distributed with  Mean=μ=74 sd=σ=8

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard…

A:

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: Given: The probability that a randomly chosen student in a statistics class submits his/her homework…

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98 and standard…

A: